We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N. We show, among others, that virtually hypercentral groups have only degenerate atoms.

Atomic topological groups

Dikranjan D.;
2018

Abstract

We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N. We show, among others, that virtually hypercentral groups have only degenerate atoms.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/1178524
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